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Finding the Third Proportional to 30,912 and 66,864

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Solution

The third proportional to 30,912 and 66,864 is: 144,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912 : 66,864 = 66,864 : x
  2. Step 2: Convert to fraction form
    30,912/66,864 = 66,864/x
  3. Step 3: Cross multiply
    30,912x = 66,864 × 66,864
  4. Step 4: Simplify right side
    30,912x = 4,470,794,496
  5. Step 5: Solve for x
    x = 4,470,794,496/30,912
  6. Step 6: Final answer
    x = 144,629.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.